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Finding the Fourth Proportional to 8,222.58, 11,347.16 and 4,685.78

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Solution

The fourth proportional to 8,222.58, 11,347.16 and 4,685.78 is: 6,466.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.58 : 11,347.16 = 4,685.78 : x
  2. Step 2: Convert to fraction form
    8,222.58/11,347.16 = 4,685.78/x
  3. Step 3: Cross multiply
    8,222.58x = 11,347.16 × 4,685.78
  4. Step 4: Simplify right side
    8,222.58x = 53,170,300.32
  5. Step 5: Solve for x
    x = 53,170,300.32/8,222.58
  6. Step 6: Final answer
    x = 6,466.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.